Answer
$12i\sqrt 2$
Work Step by Step
$\sqrt -288=\sqrt (144\times2\times-1)=\sqrt 144\times\sqrt 2\times\sqrt -1=12i\sqrt 2$
We know that $\sqrt 144=12$, because $12^{2}=144$.
We know that $\sqrt -1=i$, because $i^{2}=-1$.
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.1 Complex Numbers - 8.1 Exercises - Page 357: 21
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